I would persuade them by using the following points-
1. Charity begins at Home! To help these innocent and speechless creatures is the best way to get love and good wishes.
2. Pets in house can keep everybody healthy and can help them to be punctual.
3. Friendship with the animals is the best of all other friendships because they are always honest to us and would not harm anyone.
4. Also spending time with pets helps to know more about their life and playing with them is really fun!